JAMB Mathematics · Geometry/Trigonometry
Mensuration: JAMB Mathematics Past Questions and Answers
What the JAMB syllabus covers in Mensuration
Our summary: Finding lengths, areas and volumes of flat and solid shapes, and distances on the earth.
- Lengths and areas of plane geometrical figures
- Lengths of arcs and chords of a circle
- Perimeters and areas of sectors and segments of circles
- Surface areas and volumes of simple solids and composite figures
- The earth as a sphere: longitudes and latitudes
Objectives
- Calculate the perimeters and areas of triangles, quadrilaterals, circles and composite figures
- Find the length of an arc, a chord, perimeters and areas of sectors and segments of circles
- Calculate total surface areas and volumes of cuboids, cylinders, cones, pyramids, prisms, spheres and composite figures
- Determine the distance between two points on the earth's surface
Syllabus content © The Joint Admissions and Matriculation Board (UTME).
JAMB Mathematics questions on Mensuration
- JAMB 2024Find the angle subtended by an arc 33cm long of a circle of diameter 28cm.
- JAMB 2023A rectangle has one side that is 6 cm shorter than the other. The area of the rectangle will increase by 68 cm ^2 if we add 2 cm to each side of the rectangle…
- JAMB 2023The perimeter of an isosceles right-angled triangle is 2 meters. Find the length of its longer side.
- JAMB 2023The area of a trapezium is 200 cm ^2 . Its parallel sides are in the ratio 2 : 3 and the perpendicular distance between them is 16 cm. Find the length of each…
- JAMB 2023Find the volume of a cone which has a base radius of 5 cm and slant height of 13 cm.
- JAMB 2023Find the area and perimeter of a square whose length of diagonals is 20 2 cm.
- JAMB 2023A ship sets sail from port A (86 ^o N, 56 ^o W) for port B (86 ^o N, 64 ^o W), which is close by. Find the distance the ship covered from port A to port B…
- JAMB 2023Find the area, to the nearest cm ^2 , of the triangle whose sides are in the ratio 2 : 3 : 4 and whose perimeter is 180 cm.
- JAMB 2022A rectangular pyramid has an area 24cm ^2 and height 7.5cm. Find its volume?
- JAMB 2022Find the length of a chord 3cm from the centre of a circle of radius 5cm
- JAMB 2021A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm ^2 , find the distance between the parallel sides
- JAMB 2021Find the length of a side of a rhombus whose diagonals are 6cm and 8cm
- JAMB 2021A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pipe is 10cm.Find the volume of metal used in making 3m of the pipe.
- JAMB 2021The angle of a sector of a circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector
- JAMB 2020A sector of circle of radius 7.2cm which substends an angle of 300 ^o at the centre is used to form a cone. What s the radius of the base of the cone?
- JAMB 2020The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST
- JAMB 2020What is the circumference of latitude 0 ^o S if R is the radius of the earth?
- JAMB 2018A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.
- JAMB 2018Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm
- JAMB 2018Calculate the area of an equilateral triangle of side 8cm
- JAMB 2018An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = 22/7 )
- JAMB 2018How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?
- JAMB 2017The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base π = 22/7
- JAMB 2017A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.
- JAMB 2016An arc subtends an angle of 30º at the centre of a circle radius 12cm. Calculate the length of the arc.
- JAMB 2016An arc of the length 16 cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle.
- JAMB 2016Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60o.
- JAMB 2015The volume of a cone (s) of height 6cm and base radius 5cm is
- JAMB 2015The area of a circle of radius 4cm is equal to (Take π = 3.142 )
- JAMB 2015The area of an ellipse is 132cm ^2 .The length of its major axis is 14cm.Find the length of its minor axis
- JAMB 2015The volume of a cylinder whose height is 4cm and whose radius 5cm is equal to (π = 3.14)
- JAMB 2015Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)
- JAMB 2014If the angle of a sector of a circle with radius 10.5 cm is 120°, find the perimeter of the sector. [Take = 22/7 ]
- JAMB 2014A cylindrical tank has a capacity of 6160m3. What is the depth of the tank if the radius of its base is 28cm?
- JAMB 2013Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.
- JAMB 2013A square tile has side 30 cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?
- JAMB 2012Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.
- JAMB 2011A solid metal cube of side 3 cm is placed in a rectangular tank of dimension 3, 4 and 5 cm. What volume of water can the tank now hold
- JAMB 2010If two smaller sides of a right angled triangle are 4cm and 5cm, find its area
- JAMB 2010An arc subtends an angle of 50º at the center of circle of radius 6cm. Calculate the area of the sector formed
- JAMB 2010A cylindrical pipe 50m long with radius 7m has one end open. What is the total surface area of the pipe?
Years with Mensuration questions in DeeepSolve's question bank
From the past questions DeeepSolve holds, not a count of everything the exam body has set.
- 2024
- 2023
- 2022
- 2021
- 2020
- 2018
- 2017
- 2016
- 2015
- 2014
- 2013
- 2012
- 2011
- 2010